A note on graph minors and strong products

作者:Zefang Wu; Xu Yang*; Qinglin Yu
来源:Applied Mathematics Letters, 2010, 23(10): 1179-1182.
DOI:10.1016/j.aml.2010.05.007

摘要

Let G boxed times H and G square H denote the strong and Cartesian products of graphs G and H, respectively. In this note, we investigate the graph minor in products of graphs. In particular, we show that, for any simple connected graph G, the graph G boxed times K(2) is a minor of the graph G square Q by a construction method, where Q, is an r-cube and r = chi (G). This generalizes an earlier result of Kotlov[2].